Question

1. the diagram below represents the side view of a bike - ramp. which of the following is closest to the value of x? a 27 in. b 32 in. c 25 in. d 20 in.

Explanation:

Step1: Identify the right - triangle

The bike - ramp forms a right - triangle with legs of lengths 6 inches and 26 inches, and the hypotenuse of length $x$.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem for a right - triangle is $a^{2}+b^{2}=c^{2}$, where $a$ and $b$ are the legs and $c$ is the hypotenuse. Here, $a = 6$ and $b = 26$, so $x=\sqrt{6^{2}+26^{2}}$.

Step3: Calculate the value of $x$

First, calculate $6^{2}=36$ and $26^{2}=676$. Then $6^{2}+26^{2}=36 + 676=712$. So $x=\sqrt{712}\approx26.7$.

Answer:

A. 27 in.